"I'm for free speech," these signers are saying, "except for speech that I don't like."
It's sad enough that college students who are supposed to have at least a rudimentary understanding of the Bill of Rights and the freedoms upon which America was founded would not see the absurdity of signing the petition, but they are, after all, young and perhaps we shouldn't expect too much intellectual rigor from them.
What was really distressing about the video was the number of adults who blithely assented to sign. Presumably these people are faculty and administrators on a campus which is supposed to be a marketplace for the free exchange of ideas, and for them to sign a petition that effectively called for the elimination of the speech of people with whom they disagree is deplorable.
Is there not something hypocritical (or stupid) in educated people affirming their belief in free speech even as they happily sign a petition to ban it?